Characterizations of multiparameter Cox and Poisson processes by the renewal property

In the first part of this paper, we give two characterizations of the multiparameter Poisson process: one characterization of the Poisson process uses the renewal property in the space , and the other characterization uses the exponential distributions of random areas of rectangles. Finally, we obtain a partial generalization of a characterization of the random measure associated with a renewal Cox process from R+ to .

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Year of publication:	2008
Authors:	Merzbach, Ely ; Shaki, Yair Y.
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 78.2008, 6, p. 637-642
Publisher:	Elsevier
Keywords:	Multi-parameter renewal process Poisson process Cox process

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005254806